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Assessment of educational achievements of university students on the basis of rating and competence-based approaches is an urgent issue of pedagogy, psychology and methodology and requires research of various approaches and the search for effective methods of such an assessment. The main emphasis in the article is made on the study of the existing problems of the formation of a competence model of a university graduate, the formation of key competencies, the development of professional skills and their assessment. The author proposes a competence model and a method for assessing the level of competence formation of university students based on the apparatus of fuzzy logic, the author proves the expediency of its use, describes the features of analyzing and processing data, identifies further areas of research on this issue.